Diabatic description of charmoniumlike mesons II: mass corrections and strong decay widths

TL;DR

This paper uses a diabatic approach to predict mass shifts and decay widths of charmoniumlike mesons, showing good agreement with experimental data and supporting the diabatic framework in QCD for describing these resonances.

Contribution

It introduces a parameter-free diabatic method to calculate mass corrections and decay widths for charmoniumlike states, validating the approach with experimental data.

Findings

Mass shifts and widths are consistent with observed data.

Good agreement with measured masses supports the diabatic approach.

Predicted new resonance around 4 GeV could be experimentally confirmed.

Abstract

From a diabatic bound state approach to $J^{PC}=1^{--}$ and $(0,1,2)^{++}$ charmoniumlike resonances below $4.1$ GeV, formulated in terms of ${c\overline{c}}$ and closed meson-meson channels, we calculate mass shifts and widths due to open meson-meson channels. This calculation does not involve any new free parameter, so comparison of our predictions with existing data provides a direct test of our approach. Further mass corrections are also estimated and good agreement with the measured masses comes out. As for the calculated widths, overall reasonable, they point out to the need of some refinement of our current bound state approximation for an accurate description of data. These results give additional support to the diabatic approach in QCD as an adequate framework for a complete unified description of conventional and unconventional charmoniumlike resonances. In this respect, the experimental discovery of a predicted $2^{++}$ resonance with a mass around $4$ GeV would be of special relevance.